Search a number
-
+
10201110100212 = 2233735669402023
BaseRepresentation
bin1001010001110010000110…
…0010110011100011110100
31100010012211220100212112110
42110130201202303203310
52314113333141201322
633410154132251020
72102002006112133
oct224344142634364
940105756325473
1010201110100212
1132832a2788a09
121189063170a70
1358cc64453715
14273a4481b91a
1512a54aa95c0c
hex947218b38f4

10201110100212 has 48 divisors (see below), whose sum is σ = 23870673509760. Its totient is φ = 3390647115648.

The previous prime is 10201110100211. The next prime is 10201110100217. The reversal of 10201110100212 is 21200101110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201110100211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25173433 + ... + 25575455.

It is an arithmetic number, because the mean of its divisors is an integer number (497305698120).

Almost surely, 210201110100212 is an apocalyptic number.

10201110100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201110100212 is an abundant number, since it is smaller than the sum of its proper divisors (13669563409548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201110100212 is a wasteful number, since it uses less digits than its factorization.

10201110100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408072 (or 408070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201110100212 its reverse (21200101110201), we get a palindrome (31401211210413).

The spelling of 10201110100212 in words is "ten trillion, two hundred one billion, one hundred ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 373 746 1119 1492 2238 4476 5669 11338 17007 22676 34014 68028 402023 804046 1206069 1608092 2114537 2412138 4229074 4824276 6343611 8458148 12687222 25374444 149954579 299909158 449863737 599818316 899727474 1799454948 2279068387 4558136774 6837205161 9116273548 13674410322 27348820644 850092508351 1700185016702 2550277525053 3400370033404 5100555050106 10201110100212